Establishment of unified numerical methods for moving boundary problems
| Project/Area Number |
23540150
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Meiji University (2012-2013)
University of Miyazaki (2011) |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2011: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Keywords | 移動境界問題 / Hele-Shaw問題 / 曲率流方程式 / 曲率依存型接線速度 / 結晶成長 / スパイラル / 数値スキーム / 雪結晶 / 自由境界問題 / 画像処理 / Hele-Shaw流れ / 曲率流方程式（スロバキア，チェコ，金沢，福岡） / 移動境界問題（スロバキア，チェコ，金沢，福岡） / ヘレ・ショウ問題（チェコ，金沢，福岡） / 構造保存型スキーム（チェコ，金沢，福岡） / クリスタライン曲率流 / 曲率調整型スキーム / 保存型スキーム / 折れ線曲率流 |
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| Research Abstract |
When the interface between different mediums moves, the interface is called moving boundary, and the problem of tracking moving boundaries mathematically and numerically is called moving boundary problem (MBP in short). In the present research, we have studied numerical methods for MBPs, and tried to develop quite general numerical schemes and establish unified numerical methods for various MBPs. Within the research periods, we could develop quite nice unified numerical methods for curvature flow equations which are typical MBPs. Mathematical proofs such as convergence of the numerical schemes are on-going research.
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Report
(4 results)
Research Products
(19 results)
